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Finding the Fourth Proportional to 447,780.40, 672,448.20 and 237,828.40

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Solution

The fourth proportional to 447,780.40, 672,448.20 and 237,828.40 is: 357,155.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,780.40 : 672,448.20 = 237,828.40 : x
  2. Step 2: Convert to fraction form
    447,780.40/672,448.20 = 237,828.40/x
  3. Step 3: Cross multiply
    447,780.40x = 672,448.20 × 237,828.40
  4. Step 4: Simplify right side
    447,780.40x = 159,927,279,488.88
  5. Step 5: Solve for x
    x = 159,927,279,488.88/447,780.40
  6. Step 6: Final answer
    x = 357,155.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.